Find $\frac { \mathrm { d } s } { \mathrm {~d} t }$

question 23

Multiple Choice

Find $\frac { \mathrm { d } s } { \mathrm {~d} t }$ using implicit differentiation. $e ^ { s t } = s ^ { 9 }$

• A) \(9 - e ^ { s t }\)
• B) \(\frac { e ^ { s t } } { 9 - e ^ { s t } }\)
• C) \(\frac { s e ^ { s t } } { 9 s ^ { 8 } - t e ^ { s t } }\)
• D) \(\frac { s ^ { 8 } } { 9 s ^ { 8 } - t e ^ { s t } }\)
• E) \(\frac { s e ^ { s t } } { 9 s - t e ^ { s t } }\)

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